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Finding the Third Proportional to 47,556 and 100,417

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Solution

The third proportional to 47,556 and 100,417 is: 212,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,556 : 100,417 = 100,417 : x
  2. Step 2: Convert to fraction form
    47,556/100,417 = 100,417/x
  3. Step 3: Cross multiply
    47,556x = 100,417 × 100,417
  4. Step 4: Simplify right side
    47,556x = 10,083,573,889
  5. Step 5: Solve for x
    x = 10,083,573,889/47,556
  6. Step 6: Final answer
    x = 212,035.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.